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optimized inverses

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Zeno Rogue
2020-09-16 05:57:05 +02:00
parent cea3da31fc
commit e26f8f5a5b
16 changed files with 138 additions and 85 deletions
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21
nonisotropic.cpp
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@@ -16,9 +16,9 @@ EX namespace nisot {
EX bool geodesic_movement = true;
EX transmatrix translate(hyperpoint h) {
if(sl2)
return slr::translate(h);
EX transmatrix translate(hyperpoint h, ld co IS(1)) {
if(sl2 || sphere)
return co > 0 ? stretch::translate(h) : stretch::itranslate(h);
transmatrix T = Id;
for(int i=0; i<GDIM; i++) T[i][LDIM] = h[i];
if(sol && nih) {
@@ -35,6 +35,7 @@ EX namespace nisot {
}
if(nil)
T[2][1] = h[0];
if(co < 0) return iso_inverse(T);
return T;
}
@@ -927,7 +928,7 @@ EX namespace nilv {
}
EX hyperpoint on_geodesic(hyperpoint s0, hyperpoint s1, ld x) {
hyperpoint local = inverse(nisot::translate(s0)) * s1;
hyperpoint local = nisot::translate(s0, -1) * s1;
hyperpoint h = get_inverse_exp(local);
return nisot::translate(s0) * formula_exp(h * x);
}
@@ -1372,7 +1373,7 @@ EX namespace hybrid {
T = spintox(T * h2) * T;
w = T * C0;
w[1] = -w[1];
w = inverse(T) * w;
w = iso_inverse(T) * w;
};
if(prod)
((hrmap_hybrid*)currentmap)->in_underlying(f);
@@ -2046,7 +2047,7 @@ EX namespace rots {
transmatrix Spin;
hybrid::in_underlying_geometry([&] {
hyperpoint h = tC0(T);
Spin = inverse(gpushxto0(h) * T);
Spin = iso_inverse(gpushxto0(h) * T);
d = hr::inverse_exp(shiftless(h));
alpha = atan2(Spin[0][1], Spin[0][0]);
distance = hdist0(h);
@@ -2173,7 +2174,7 @@ EX namespace rots {
auto g = std::move(gmatrix);
auto g0 = std::move(gmatrix0);
ld alpha = atan2(inverse(NLP) * point3(1, 0, 0));
ld alpha = atan2(ortho_inverse(NLP) * point3(1, 0, 0));
bool inprod = prod;
transmatrix pView = View;
@@ -2762,7 +2763,7 @@ EX namespace nisot {
EX void fixmatrix(transmatrix& T) {
if(sphere) return hr::fixmatrix(T);
transmatrix push = eupush( tC0(T) );
transmatrix push_back = inverse(push);
transmatrix push_back = eupush(tC0(T), -1);
transmatrix gtl = push_back * T;
{ dynamicval<eGeometry> g(geometry, gSphere); hr::fixmatrix(gtl); }
T = push * gtl;
@@ -2771,14 +2772,14 @@ EX namespace nisot {
EX transmatrix parallel_transport(const transmatrix Position, const hyperpoint direction) {
auto P = Position;
nisot::fixmatrix(P);
if(!geodesic_movement) return inverse(eupush(Position * translate(-direction) * inverse(Position) * C0)) * Position;
if(!geodesic_movement) return eupush(Position * translate(-direction) * inverse(Position) * C0, -1) * Position;
return parallel_transport_bare(P, direction);
}
EX transmatrix spin_towards(const transmatrix Position, const hyperpoint goal, flagtype prec IS(pNORMAL)) {
hyperpoint at = tC0(Position);
transmatrix push_back = inverse(translate(at));
transmatrix push_back = translate(at, -1);
hyperpoint back_goal = push_back * goal;
back_goal = inverse_exp(shiftless(back_goal), prec);